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Popular >

simplify ln((70)/(e^{17x)})

Solution

simplify

ln (\frac{70}{e ^{17 x}})

Solution

ln (70) - 17 x

Solution steps

ln (\frac{70}{e ^{17 x}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{70}{e ^{17 x}}) = ln (70) - ln (e^{17 x})

= ln (70) - ln (e^{17 x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{17 x}) = 17 x ln (e)

= ln (70) - 17 x ln (e)

17 x ln (e) = 17 x

= ln (70) - 17 x

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Frequently Asked Questions (FAQ)

What is ln((70)/(e^{17x)}) ?
The solution to ln((70)/(e^{17x)}) is ln(70)-17x